Geo Topic 4 Review

Presentation

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Mathematics

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10th Grade

•

Practice Problem

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Hard

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CCSS

HSG.CO.C.11, 6.G.A.3, HSG.GPE.B.7

Standards-aligned

Sravya Kidambi

Used 3+ times

FREE Resource

6 Slides • 13 Questions

Geo Topic 4 Review

Multiple Choice

If given the coordinates of a quadrilateral, using the distance formula to find the lengths of the diagonals will allow you to prove if it is a parallelogram.

True, if they're congruent then it's a parallelogram

True, if they're congruent then it's a rectangle

False, you should find the opposite sides' slopes for it to be a parallelogram

False, you should find the opposite sides' slopes for it to be a rhoombus

Multiple Choice

Which statement is sufficient to prove that quadrilateral ABCD is a parallelogram?

One pair of sides is congruent

One pair of sides is parallel

The diagonals are perpendicular

The diagonals bisect each other

Coordinate Proofs

CHECK THE DIAGONALS!!!!
If they're congruent--> rectangle
If they're perpendicular--> rhombus (make sure to then check at least one pair of opposite sides are parallel so you know it's not a kite)
If they're both--> square

Coordinate Proofs (cont.)

Parallel slides have the SAME SLOPE
Perpendicular slides have OPPOSITE RECIPROCAL SLOPES
$m=\frac{y_2-y_1}{x_2-x_1}$

Multiple Choice

What's the most specific name for a quadrilateral with coordinates (-3,5), (3,7), (6,-2), (0,-4)

Rectangle

Square

parallelogram

kite

Fill in the Blanks

What does the missing coordinate have to be in order for the figure to be a parallelogram? Type the ordered pair (x,y)

Type answer...

Multiple Select

ABCD has coordinates A(1,6) B(5,6), C(5,2). What has to be true about diagonal BD in order for this to be a square?

BD should have a length of

4\sqrt{2}

BD should have a slope of -1

BD should have a length of 4

BD should have a slope of 1

Multiple Choice

Given coordinates A(0,0), B(3,4) and C(6,0), what must be true about triangle ABC?

It is a right triangle with AB perp to BC

It is a right triangle with AB perp to AC

It is isosceles with AB congruent to BC

It is isosceles with AB congruent to AC

Multiple Choice

Find the values of x and y

x =4, y=12

x=10, y=2

x=4, y=9

x=9, y=4

Fill in the Blanks

Find the value of x. Type only the number.

Type answer...

Multiple Choice

In quadrilateral ABCD, AB is parallel to CD. What else do you need to know to prove that ABCD is a parallelogram?

The given information is sufficient

The lengths of AB and CD are equal

The slopes of BC and AD are equal

The lengths of BC and AD are equal

Fill in the Blanks

Find the area of the rectangle (type only the number)

Type answer...

Fill in the Blanks

What is the perimeter to the nearest unit? (Type only a whole number)

Type answer...

Multiple Choice

In rectangle ABCD, BE= y + 4 and BD is 4y +2. Which of the following is true?

CE = 7

AC=7

DE= 14

AE=14

Multiple Choice

Write the equation of a line that is parallel to 8x - 3y = 24 and passes through the point (5, 8).

3y - 8x = -16

3y + 8x = -16

8x - 3y = 8

8x +3y = 5

Make sure you know...

If a diagonal of a quadrilateral results in two CONGRUENT triangles, the ONLY thing you can say FOR SURE is that the figure is a parallelogram
You don't know anything about the sides being perpendicular, congruent, etc.

Which triangles are congruent?

Geo Topic 4 Review

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